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Field-induced Kosterlitz–Thouless transition in critical triangular-lattice antiferromagnets

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  • Hwang Chi-Ok

    (Division of Liberal Arts and Sciences, GIST College, Gwangju Institute of Science and Technology, Gwangju Metropolitan City 500-712, Korea)

  • Kim Seung-Yeon

    (School of Liberal Arts and Sciences, Korea National University of Transportation, Chungju 380-702, Korea)

Abstract

In this paper, we directly obtain from Monte Carlo simulations the critical magnetic field H=0.29(3)${H=0.29(3)}$ of the field-induced Kosterlitz–Thouless transition in the critical triangular-lattice antiferromagnet. The Yang–Lee zero approach clearly shows the field-induced Kosterlitz–Thouless transition and the critical magnetic field agrees well with the results from other indirect methods. Also, the reduced zero-field susceptibility gives us the same conclusion. For the investigations, we used the exact and approximate ground densities of states as a function of magnetization by using both the exact enumeration method for small systems (up to 9×9 lattices) and the Wang–Landau Monte Carlo algorithm for large systems (up to 30×30 lattices).

Suggested Citation

  • Hwang Chi-Ok & Kim Seung-Yeon, 2014. "Field-induced Kosterlitz–Thouless transition in critical triangular-lattice antiferromagnets," Monte Carlo Methods and Applications, De Gruyter, vol. 20(3), pages 217-221, September.
    • Handle: RePEc:bpj:mcmeap:v:20:y:2014:i:3:p:217-221:n:4
    DOI: 10.1515/mcma-2013-0027
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    References listed on IDEAS

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    1. Stošić, Borko D. & Sastry, Srikanth & Kostić, Dragan & Milošević, Sava & Eugene Stanley, H., 1996. "Geometric criteria for phase transitions: The Ising model with nearest and next-nearest neighbor interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 349-368.
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    1. Hwang, Chi-Ok & Kim, Seung-Yeon, 2010. "Yang–Lee zeros of triangular Ising antiferromagnets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5650-5654.

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